- Probable Error is basically the correlation coefficient that is fully responsible for the value of the coefficients and its accuracy. It is generally used to test the significance of Sample Correlation Coefficient.
- Probable error is the coefficient of correlation that supports in finding out about the accurate values of the coefficients. It also helps in determining the reliability of the coefficient.
- The correlation coefficient for a population is usually based on the knowledge and the sample relating to the correlation coefficient. Therefore, probable error is the easy way to find out or obtain the correlation coefficient of any population. Hence, the definition is:

Here, r = correlation coefficient of ānā pairs of observations for any random sample and N = Total number of observations.